Higher genus family - 4.9-1.0.9-9-9

Formats: - HTML - YAML - JSON - 2026-03-15T08:30:34.378877

• hgcwa_passports •

  Column	Type
  braid	integer[]
  cc	jsonb
  cinv	jsonb
  con	text
  cyclic_trigonal	boolean
  dim	smallint
  eqn	jsonb
  full_auto	text
  full_label	text
  g0	smallint
  gen_vectors	jsonb
  genus	smallint
  group	text
  group_order	integer
  hyp_involution	jsonb
  hyperelliptic	boolean
  jacobian_decomp	jsonb
  label	text
  ndim	smallint
  passport_label	text
  r	smallint
  realcc	integer[]
  signH	text
  signature	text
  topological	integer[]
  total_label	text

  
  
  • id: 433
    {'braid': [1, 1], 'cc': [1, 1], 'con': '[4,4,8]', 'dim': 0, 'eqn': [], 'full_auto': '[18,2]', 'full_label': '4.18-2.0.2-9-18', 'g0': 0, 'gen_vectors': [[4, 5, 6, 7, 8, 9, 2, 3, 1], [4, 5, 6, 7, 8, 9, 2, 3, 1], [6, 4, 5, 9, 7, 8, 1, 2, 3]], 'genus': 4, 'group': '[9,1]', 'group_order': 9, 'jacobian_decomp': [[3, 1, 2], [1, 1, 4]], 'label': '4.9-1.0.9-9-9', 'ndim': 0, 'passport_label': '4.9-1.0.9-9-9.1', 'r': 3, 'signH': '[0,2,9,18]', 'signature': '[0,9,9,9]', 'topological': [1, 1], 'total_label': '4.9-1.0.9-9-9.1.1'}
  • id: 458
    {'braid': [2, 1], 'cc': [2, 1], 'con': '[4,6,6]', 'dim': 0, 'eqn': [], 'full_auto': '[18,2]', 'full_label': '4.18-2.0.2-9-18', 'g0': 0, 'gen_vectors': [[4, 5, 6, 7, 8, 9, 2, 3, 1], [5, 6, 4, 8, 9, 7, 3, 1, 2], [5, 6, 4, 8, 9, 7, 3, 1, 2]], 'genus': 4, 'group': '[9,1]', 'group_order': 9, 'jacobian_decomp': [[3, 1, 2], [1, 1, 4]], 'label': '4.9-1.0.9-9-9', 'ndim': 0, 'passport_label': '4.9-1.0.9-9-9.2', 'r': 3, 'signH': '[0,2,9,18]', 'signature': '[0,9,9,9]', 'topological': [1, 1], 'total_label': '4.9-1.0.9-9-9.2.1'}
  • id: 477
    {'braid': [3, 1], 'cc': [3, 1], 'con': '[5,5,7]', 'dim': 0, 'eqn': [], 'full_auto': '[18,2]', 'full_label': '4.18-2.0.2-9-18', 'g0': 0, 'gen_vectors': [[7, 8, 9, 2, 3, 1, 5, 6, 4], [7, 8, 9, 2, 3, 1, 5, 6, 4], [8, 9, 7, 3, 1, 2, 6, 4, 5]], 'genus': 4, 'group': '[9,1]', 'group_order': 9, 'jacobian_decomp': [[3, 1, 2], [1, 1, 4]], 'label': '4.9-1.0.9-9-9', 'ndim': 0, 'passport_label': '4.9-1.0.9-9-9.3', 'r': 3, 'signH': '[0,2,9,18]', 'signature': '[0,9,9,9]', 'topological': [1, 1], 'total_label': '4.9-1.0.9-9-9.3.1'}
  • id: 491
    {'braid': [4, 1], 'cc': [4, 1], 'con': '[5,9,9]', 'dim': 0, 'eqn': [], 'full_auto': '[18,2]', 'full_label': '4.18-2.0.2-9-18', 'g0': 0, 'gen_vectors': [[7, 8, 9, 2, 3, 1, 5, 6, 4], [9, 7, 8, 1, 2, 3, 4, 5, 6], [9, 7, 8, 1, 2, 3, 4, 5, 6]], 'genus': 4, 'group': '[9,1]', 'group_order': 9, 'jacobian_decomp': [[3, 1, 2], [1, 1, 4]], 'label': '4.9-1.0.9-9-9', 'ndim': 0, 'passport_label': '4.9-1.0.9-9-9.4', 'r': 3, 'signH': '[0,2,9,18]', 'signature': '[0,9,9,9]', 'topological': [1, 1], 'total_label': '4.9-1.0.9-9-9.4.1'}
  • id: 500
    {'braid': [5, 1], 'cc': [5, 1], 'con': '[6,8,8]', 'dim': 0, 'eqn': [], 'full_auto': '[18,2]', 'full_label': '4.18-2.0.2-9-18', 'g0': 0, 'gen_vectors': [[5, 6, 4, 8, 9, 7, 3, 1, 2], [6, 4, 5, 9, 7, 8, 1, 2, 3], [6, 4, 5, 9, 7, 8, 1, 2, 3]], 'genus': 4, 'group': '[9,1]', 'group_order': 9, 'jacobian_decomp': [[3, 1, 2], [1, 1, 4]], 'label': '4.9-1.0.9-9-9', 'ndim': 0, 'passport_label': '4.9-1.0.9-9-9.5', 'r': 3, 'signH': '[0,2,9,18]', 'signature': '[0,9,9,9]', 'topological': [1, 1], 'total_label': '4.9-1.0.9-9-9.5.1'}
  • id: 507
    {'braid': [6, 1], 'cc': [6, 1], 'con': '[7,7,9]', 'dim': 0, 'eqn': [], 'full_auto': '[18,2]', 'full_label': '4.18-2.0.2-9-18', 'g0': 0, 'gen_vectors': [[8, 9, 7, 3, 1, 2, 6, 4, 5], [8, 9, 7, 3, 1, 2, 6, 4, 5], [9, 7, 8, 1, 2, 3, 4, 5, 6]], 'genus': 4, 'group': '[9,1]', 'group_order': 9, 'jacobian_decomp': [[3, 1, 2], [1, 1, 4]], 'label': '4.9-1.0.9-9-9', 'ndim': 0, 'passport_label': '4.9-1.0.9-9-9.6', 'r': 3, 'signH': '[0,2,9,18]', 'signature': '[0,9,9,9]', 'topological': [1, 1], 'total_label': '4.9-1.0.9-9-9.6.1'}